Question

For the function f(x)=−3x^3+36x+6 (a) Find all intervals where the function is increasing. Answer: ff is...

For the function f(x)=−3x^3+36x+6

(a) Find all intervals where the function is increasing.

Answer: ff is increasing on=

(b) Find all intervals where the function is decreasing.

Answer: ff is decreasing on=

(c) Find all critical points of f(x)

Answer: critical points: x=

Instructions:
For parts (a) and (b), give your answer as an interval or a union of intervals, such as (-infinity,8] or (1,5) U (7,10) .
For part (c), enter your xx-values as a comma-separated list, or none if there are no critical points.

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